Volumes of tubes about complex submanifolds of complex projective space

Gray, Alfred

doi:10.1090/S0002-9947-1985-0800247-2

Volumes of tubes about complex submanifolds of complex projective space
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Trans. Amer. Math. Soc. 291 (1985), 437-449 Request permission

Abstract:

Simple formulas in terms of Chern classes are given for the volume of a tube about a Kähler submanifold of a space of constant holomorphic sectional curvature. A comparison theorem which generalizes these formulas is also given. Tubes about complete intersections in complex projective space are studied in detail.

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